Approximate solution of nonlinear system of integral equations
Newton-Kantorovich method is developed to obtain an approximate solution for system of nonlinear integral equations. The system of nonlinear integral equations is reduced to find the roots of nonlinear integral operator. This nonlinear integral operator is solved by Newton-Kantorovich method with in...
| Main Authors: | , , , |
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| Format: | Conference or Workshop Item |
| Language: | English |
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Ibnu Sina Institute for Fundamental Science Studies, Universiti Teknologi Malaysia
2010
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| Online Access: | http://psasir.upm.edu.my/id/eprint/64974/ http://psasir.upm.edu.my/id/eprint/64974/1/2010-8.pdf |
| _version_ | 1848855154835587072 |
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| author | Eshkuvatov, Zainidin K. Ahmedov, Anvarjon Nik Long, Nik Mohd Asri Hazaimeh, Oday Shafiq |
| author_facet | Eshkuvatov, Zainidin K. Ahmedov, Anvarjon Nik Long, Nik Mohd Asri Hazaimeh, Oday Shafiq |
| author_sort | Eshkuvatov, Zainidin K. |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | Newton-Kantorovich method is developed to obtain an approximate solution for system of nonlinear integral equations. The system of nonlinear integral equations is reduced to find the roots of nonlinear integral operator. This nonlinear integral operator is solved by Newton-Kantorovich method with initial conditions and this procedure is continued by iteration method to find the unknown functions. At the end the existence and uniqueness of the solutions of the system are obtained. |
| first_indexed | 2025-11-15T11:21:15Z |
| format | Conference or Workshop Item |
| id | upm-64974 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T11:21:15Z |
| publishDate | 2010 |
| publisher | Ibnu Sina Institute for Fundamental Science Studies, Universiti Teknologi Malaysia |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-649742018-09-03T04:16:05Z http://psasir.upm.edu.my/id/eprint/64974/ Approximate solution of nonlinear system of integral equations Eshkuvatov, Zainidin K. Ahmedov, Anvarjon Nik Long, Nik Mohd Asri Hazaimeh, Oday Shafiq Newton-Kantorovich method is developed to obtain an approximate solution for system of nonlinear integral equations. The system of nonlinear integral equations is reduced to find the roots of nonlinear integral operator. This nonlinear integral operator is solved by Newton-Kantorovich method with initial conditions and this procedure is continued by iteration method to find the unknown functions. At the end the existence and uniqueness of the solutions of the system are obtained. Ibnu Sina Institute for Fundamental Science Studies, Universiti Teknologi Malaysia 2010 Conference or Workshop Item PeerReviewed text en http://psasir.upm.edu.my/id/eprint/64974/1/2010-8.pdf Eshkuvatov, Zainidin K. and Ahmedov, Anvarjon and Nik Long, Nik Mohd Asri and Hazaimeh, Oday Shafiq (2010) Approximate solution of nonlinear system of integral equations. In: Regional Annual Fundamental Science Symposium 2010 (RAFSS 2010), 8-9 June 2010, Grand Season Hotel, Kuala Lumpur. (pp. 595-607). |
| spellingShingle | Eshkuvatov, Zainidin K. Ahmedov, Anvarjon Nik Long, Nik Mohd Asri Hazaimeh, Oday Shafiq Approximate solution of nonlinear system of integral equations |
| title | Approximate solution of nonlinear system of integral equations |
| title_full | Approximate solution of nonlinear system of integral equations |
| title_fullStr | Approximate solution of nonlinear system of integral equations |
| title_full_unstemmed | Approximate solution of nonlinear system of integral equations |
| title_short | Approximate solution of nonlinear system of integral equations |
| title_sort | approximate solution of nonlinear system of integral equations |
| url | http://psasir.upm.edu.my/id/eprint/64974/ http://psasir.upm.edu.my/id/eprint/64974/1/2010-8.pdf |